We study the quantum critical effect enhanced spin-nematic squeezing and quantum Fisher information (QFI) in the spin-1 dipolar atomic Bose-Einstein condensate. We show that the quantum phase transitions can improve the squeezing and QFI in the nearby regime of critical point, and the Heisenberg-limited high-precision metrology can be obtained. The different properties of the ground squeeing and entanglement under even and odd number of atoms are further analyzed, by calculating the exact analytical expressions.We also demonstrate the squeezing and entanglement generated by the spin-mixing dynamics around the phase transition point. It is shown that the steady squeezing and entanglement can be obtained, and the Bogoliubov approximation can well describe the dynamics of spin-nematic squeezed vacuum state.

中文翻译：

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极强地增强了偶极旋转子凝结物中的自旋向列型压缩和纠缠

我们研究了自旋1双极原子Bose-Einstein凝聚物中的量子临界效应增强的自旋向列型压缩和量子Fisher信息（QFI）。我们表明，量子相变可以改善附近临界点的压缩和QFI，并且可以获得Heisenberg限定的高精度度量。通过计算精确的解析表达式，进一步分析了偶数和奇数原子下地基的挤压和纠缠特性。我们还证明了自旋混合动力学在相变点附近产生的挤压和纠缠。结果表明，可以获得稳定的压缩和纠缠，并且Bogoliubov近似可以很好地描述自旋向列型压缩真空状态的动力学。